Finding the Third Proportional to 82,154 and 126,714

Step by Step Solution

1. Step 1: Write the proportion equation
   82,154 : 126,714 = 126,714 : x
2. Step 2: Convert to fraction form
   82,154/126,714 = 126,714/x
3. Step 3: Cross multiply
   82,154x = 126,714 × 126,714
4. Step 4: Simplify right side
   82,154x = 16,056,437,796
5. Step 5: Solve for x
   x = 16,056,437,796/82,154
6. Step 6: Final answer
   x = 195,443.17